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Lambros D. Callimahos
Communication with Extraterrestrial
Intelligence
We are not alone in the universe. A few years ago, this
notion seemed farfetched; today, the existence of
extraterrestrial intelligence is taken for granted by most
scientists. Even the staid National Academy of Sciences
has gone on record that contact with other civilizations
"is no longer something beyond our dreams but a natural
event in the history of mankind that will perhaps occur in
the lifetime of many of us." Sir Bernard Lovell, one of
the world's leading radio astronomers, has calculated
that, even allowing for a margin of error of 5000%, there
must be in our galaxy about 100 million stars which have
planets of the right chemistry, dimens ions, and
temperature to support organic evolution. If we consider
that our own galaxy, the Milky Way, is but one of at leasta billion other galaxies similar to ours in the observable
universe, the number of stars that could support some form
of life is, to reach for a word, astronomical. As to
advanced forms of life-advanced by our own miserable
earth standards-Dr. Frank D. Drake of the National
Radio Astronomy Observatory at Green Bank, Wes t
Virginia, has stated that, putting all our knowledge
together, the number of civilizations which could have
arisen by now is about one billion. The next question is,
"Where is everybody?"
The nearest neighbor to our solar system is Alpha
Centauri, only 4.3 light years away; but, according to Dr.
Su-Shu Huang of the National Aeronautics and SpaceAdministration, its planetary system is probably too
young for the emergence of life. Two other heavenly
friends, Epsilon Eridani and Tau Ceti, about 11 light
years away, are stronger contenders for harboring life.
Nevertheless, if superior civilizations are a b u ~ d a n t , the
This article was given as a lecture at the Cosmos Club in
Washington earlier this year.
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nearest would probably be at least 100 light years away;
therefore it would take 200 years for a reply to be
forthcoming, a small matter of seven generations. This
should, however, make little difference to us, in view of
the enormous potential gain from our contact with a
superior civilization. Unless we are terribly conceited (a
very unscientific demeanor), we must assume tha t the
"others" are far more advanced than we are. Even a 50
year gap would be tremendous; a 500-year gap staggers
the imagination, and as for a 5000-year gap. . . (By theway, if they are as much as 50 years behind us, forget it!)
It is quite possible that ..others" have satellite probes in
space, retransmitting to "them" anything that sounds
nonrandom to the probe. But they have probably calledus several thousand years ago, and are waiting for an
answer; or worse yet, they have given up; or, more
probably, they have reached such impressive
technological advances that they have destroyed
themselves. In this connection, Professor Iosif Shklovsky,
Russia's greatest radio astronomer, has cited the profound
crises which lie in wait for a developing civilization, any
one of which may well prove fatal:
(1) Self-destruction as a result of a thermonuclear
catastrophe or some other discovery which may have
unpredictable and uncontrollable consequences;
(2) Genetic danger;
(3) Overproduction of information;
(4) Restricted capacity of the individual's brain,
which can lead to excessive specialization, with
consequent dangers of degeneration; and
(5) A crisis precipitated by the creation of
artificial intelligent beings.
Epsilon Eridani and Tau Ceti were the targets on
which Dr. Drake focussed his' attention in the spring of
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1960 in Project Ozma, an attempt to detect possible
intelligent signals from outer space. The frequency
selected for listening was 1420.405752 megacycles per
second, or a wave length of 21 em. This particular
frequency, postulated independently by two professors on
the faculty of Cornell University, Giuseppe Cocconi and
Philip Morrison, happens to be the radiation frequency of
atomic or free hydrogen which permeates space in great
clouds; moreover, this frequency is within the range of
radio frequencies able to pass through the earth's
atmosphere. Presumably, the significance of this
frequency would be known to other intelligent beings in
the universe who understand radio theory. We are still
talking about radio waves as the communication medium;
other possible media might be masers, lasers, or the as yet
undiscovered and unnamed "rasers." A technology
superior to ours might even have learned how to
modulate a beam of neutrinos (weightless, uncharged
particles that physicists on earth find it difficult even to
detect); if so, "they" may have to wait a century or two
before we learn how to build a neutrino receiver.
The growing presumption tha t life exists in other
worlds led, in 1971, to a six-nation multidisciplinary
conference held in Soviet Armenia on Communication
with Extraterrestrial Intelligence. The U.S. delegation of
about two dozen scientists was headed by Dr. Carl Sagan
of the Center for Radiophysics and Space Research at
Cornell University. The report of this conference,
published in 1973 by MIT, deals with such subjects as
the evolution of intelligence, the lifetimes of technical
civilizations, and the number of advanced galactic
civilizations. Last November a group of scientists at
Arecibo Observatory in Puerto Rico sent a three-minute
message beamed at Messier 13, and this represented
man's first attempt to take the initiative in
communicating with another civilization. The project was
conducted by the Nat ional Astronomy and Ionosphere
Center, which operates the Are"ibo Observatory for
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0o 0 0 0 0 1 000 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 000000 000 1 000 1 0 0 0 0 1 000 000 1 0 0 0 0 0 0 0 0 0 0 0 0 1 000 0o 0 0 0 0 0 0 1 000 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 000 1 0 0 0 100o 100 0 000 0 1 1 1 Q 0 0 0 0 0 0 0.0 0 0 000 1 0 0 0 0 0 0 0 0 0 000 1o 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 000 0 0 0 100000 1 0 0 0 0 1 1 000 1 0 0 0 0 0 0 0 000 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0000 0 0 0 0 0 0 0 0 0 0 0 0 000 0 1 1 0 0 0 0 1 1 000 0 1 1 000 0 1 1 0110 1 101 101 001 1 0 0 0 0 1 100 1 0 1 100 1 0 1 100 100 100
100 100 1 0 0 1 0 1 0 100 100 1 0 000 1 1 0 0 0 0 1 1 000 0 1 100
001 1 0 0 0 0 1 1 000 000 000 1 000 0 0 0 0 0 0 0 0 1 1 1 1 101 0 0o 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 000 1 0 0 0 0 0 100o 0 0 0 0 0 0 0 0 1 0 1 101 1 1 0 0 1 0 0 0 0 0 0 GOO 0 0 0 0 1 1 1 1 101o 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 000 0 0 0 0 0 0 0 0o 0 0 0 0 0 1 000 1 0 0 1 1 1 0 0 0 000 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 000o 0 0 0 0 0 1 0 100 1 0 0 0 0 1 100 1 0 1 0 1 1 100 1 0 1 0 0 0 0 0 000o 0 0 0 0 0 0 1 0 1 001 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 001 0 0 0 0 0 000000 0 0 0 0 0 0 100 1 0 0 000 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0o 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 000 1 1 1 0 1 0 1 0 000 0 0 1 0 1 0 1 000o 0 0 0 0 0 0 0 1 0 101 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 000 101 0000 0 0 0 0 0 1 0 1 000 1 000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 000 100
1 000 100 0 100 1 101 100 1 1 101 101 1 0 1 0 0 0 0 0 1 000 1 0001 0 101 0 1 000 1 000 1 0 0 000 0 0 0 0 0 0 0 000 0 0 0 1 000 1
000 1 0 0 1 0 0 1 000 1 000 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1o 0 0 0 0 1 1 1 1 100 0 001 1 1 000 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1o 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 000 1 0 0 000 0 1 0 0 0 0 0 0 0 0 001 0 0000 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 000 0 0 0 0 0 1 0000 0 1 000 1 000 1 000 1 0 0 000 1 0 0 0 0 0 1 1 000 1 1 0 0 001o 0 0 0 0 1 000 1 0 0 0 1 000 1 0 0 0 0 0 1 0 0 0 0 0 1 1 000 0 0 0 0 0 11 0 0 0 0 0 1 101 1 000 1 101 100 000 1 100 1 1 1
Figure 1
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.'" . . . . . . . . . . . . . . . . . .
Cornell University and the National Science Foundation.
Messier 13 is a cluster of 300,000 stars on the edge of the
Milky Way, 24,000 light years away, so if the message is
received and answered promptly, unless we happen to hit
them on one of their three-day holidays we should have
their answer in 48,000 years, give or take a day or two.
Actually, the main purpose of the experiment was to
dramatize the capabilities of the world's largest antenna
at the Arecibo Observatory.
I f another civilization were trying to establish
communication with us, it would first embark on
attention-getting signals of such a nature that we could
distinguish them from random cosmic noise; once we
receive a recognizable signal, we have a good chance of
u'nderstanding the message. For example" they could start
with trains of signals corresponding to the natural number
1, 2, 3. . . , followed perhaps by pr ime numbers. They
might continue with equal-length extended signals
consisting of s tart and stop impulses, with occasional
pulses in between; when these signals are aligned flush
over one another, they would show a circle, the
•••
••
•••••.••
• ••• • ••
Pythagorean Theorem, or similar geometric design.
These attention-getting signals would be followed by
what amounts to early "language lessons," interspersed
with items of technical information to help bring us up to
the level of our superiors, "them."
It may be assumed that the sense of sight, or an
equivalent, is possessed by all higher' forms of life; the
problems of communication could thus be greatlysimplified through the medium of a "raster"
representation such as that of a television screen. After a
conference held at Green Bank in 1961 to discuss the
possibility of communication with other planets, one of
the participants, Bernard M. Oliver, made up a
hypothetical message on the raster principle. The
message, consisting of 1271 binary digits or "bits," is
shown in Figure 1. Since 1271 has but two prime factors,
31 and 41 , we would naturally be lead to write out the
message in raster form, in 41 lines of 31 bits each, o r in
31 lines of 41 bits each; the lat ter case reveals a greater
nonni.ndomness in the patterns disclosed, indicating that
these are the correct dimensions. In Figure 2 is shown the. . . . . . . . . . . . . . . . . .• ••••
•
••• • •
•••••••••••••••••••••••• • •• •• •• •• •••• •••••••• • ••• ••••• • . . ..,.• ••• I I II I .:• • ••••
·I·a·. .·'·1· I:I 1··1 .:.
I··r i
···'··1 ·1:1· I·..···.1 ••1 I.. I.
•
••
• •••• •
••••••
••
•
•••
·•••
·••
·••••
••
·•• •· '
:1. . . . . . . . .. . . . . . . . . . . . . . . ... . . . . . . . . . . .- . . . .Figure 2
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write-out of the message, in which the binary l' s have
been replaced by a dot and the O's left as blank spaces.
Now for its interpretation.
There are dots at the four corners of the pictogram as
reference points, marking the outlines of the rectangle. At
the upper left is a representation of the sun; directly
underneath in a column are dots representing 8 planets,
identified by the appropriate binary coding to their left,
preceded by a binary point as a marker. The erect, two
legged beings illustrated are obviously bisexual and
mammalian; one hand of the male figure points to the
fourth planet where they apparently reside. At the top of
the pictogram may be seen representations of hydrogen,
carbon, and oxygen atoms, indicating that the chemical
structure of life on their planet is similar to ours. From
the third planet there emerges a wavy line, showing that
it is covered with water; the fish shows that they must
have visited us and therefore have space travel. One hand
of the female figure points to a six (preceded by the usual
binary point), perhaps implying that there are six fingers
on each hand; we could therefore assume that their
number system is probably to the base 12. At the tight of
the female figure may be seen a bracket , in the middle of
which is eleven in binary form (preceded by a binary
point): this implies that the beings are 11 units high. A
reasonable interpretation is that the unit is 21 em., the
wave length of the transmission, making them about
7 feet tall, which 'should be all right for average
Martians.
In 1952 the British scientist Lancelot Hogben
delivered an address before the British Interplanetary
Society entitled "Astraglossa, or First Steps in Celestial
Syntax." Hogben pointed out tha t number is the mostuniversal concept for establishing communication between
intelligent beings, therefore mathematics forms the basis
for the first steps in extraterrestrial communication; he
then illustrated how he could transmit pulses representing
integers, and distinctive signals or "radioglyphs"
representing" +", "-", " = " , and so on. Morrison later
carried out the basic idea a lit tle further, using different
pulse shapes to represent elementary mathematical
symbols. An entirely different approach was developed by
Hans Freudenthal, Professor of Mathematics at the
University of Utrecht, who in 1960 published a book
entitled Lincos: Design o f a Language for Cosmic
Intercourse. "Lincos," an acronym of "lingua cosmica,"
tries to establish a communication of ideas through
symbolic logic, but the general consensus of those who
have taken the trouble to study his book is that his plan is
too difficult. After all, the object of the exercise is getting
ideas across to another party, whose thinking processes
may be entirely dif ferent from our own. In other words,
what we need to develop is an "inverse cryptography," or
SOil OFFICIAi: USE ONLl
communication symbolism specially designed, not to hide
meaning, but to be as easy as possible to comprehend.
Cleverness on the part of the sender is then the important
factor, not reliance on ingenui ty of the recipient. The
inverse cryptographer-somehow, this term doesn't
sound quite right-must make his meaning clear to the
recipient, even if the latter does not possess a cosmic
equivalent of the Rosetta Stone.As an illustration of how much information could be
conveyed with a minimum ofmaterial, and as an example
of facile inverse cryptography, let us consider a message I
have devised to be typical of what we might expect of an
initial communicat ion from outer space. In Figure 3 is
shown a series of transmissions which could have come
from another inhabited planet, many l ight years away.
The 32 arbitrary symbols are representations for the 32
different signals (combinations of beeps, or distinctive
pulse shapes) heard on a frequency of 1420.4 megacycles.
The punctuation marks are not part of the message, but
here represent different time lapses: adjacent symbols are
sent with a short pause (1 unit) between them; a space
between symbols means a longer pause (2 units);
commas, semicolons, and periods indicate pauses of 4, 8,
and 16 units, respectively. Between transmissions
(numbered here for reference purposes) there is a time
lapse of 32 units.
The first transmission, (1), is obv iously an
enumeration of the 32 different symbols which will be
used in the communications; in transmission (2) is the
clear implication that A represents the integer 1, B the
integer 2, and so on to J being the integer 10. In
transmission (3) , the symbols K for a plus sign and L for
"equals" are introduced; in (4), the symbol M stands for"minus"; in (5), the symbol N stands for the concept and
sign for zero. In (6), the concept of decimal notation is
introduced; in (7), the symbol 0 must stand for the
mult iplication sign; in (8) , the symbol P must stand for
.the sign for division; in (9), the symbol Qmust represent
a sign for the reciprocal; and in (10), the symbol R must
stand for a decimal point. In the next ten transmissions
there are introduced the concepts and symbols for
inequalities, approximations, nested parentheses and
brackets, powers and roots, factorials, and infinite series
defining pi and e. Transmission (21) adds nothing new to
the 31 symbols recovered thus far, but it does quote one
of the most beautiful concepts in pure mathematics,
Euler's identity, en + 1 = O. With this they are telling
us that, if they can teach us such a complex notion at this
early stage, we will be staggered by what they will teach
us by the 200th or 2000th transmission.
Beginning with transmission (22), words and word
cluster concepts are introduced, so that by the time we
come to transmission. (30) we are now understanding, in a
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(1) A. B. C. D. E. F. G. H. I . J . K. L. M. N. O. P. Q. R. S. T. U.
V. W. X. Y. Z. * &. $. ¢ . #. ~ A. B. C. D. E. F. G. H.I . J . K. L. M. N. O. P. Q. R. S. T. U. V. W. X. Y. Z. * &. $.
¢ . #. ~ (2) A A, B; A A A, C; A A A A, D; A A A A A, E; A A A A A A, F;
A A A A A A A, G; A A A A A A A A, H; A A A A A A A A A, I;
A A A A A A A A A A, J .(3) A K ALB; A K A K A L C; A K A K A K ALD. A K ALB;
B K A L C; C K ALD. B K C L E; E L B K C; F K D L J;J L D K F. ELK E; K E L E.
(4) C MAL B; D MAL C; G MEL B; E M G L MB.
(5) D K N L D; G K N G; F MF L N; E MEL N.
(6) J LAN; J K A L AA; J K BLAB; AA K A LAB. J K J L BN;J K J K J L CN; IN K C L IC.
(7) B 0 C L F; D 0 B L H; E 0 B LAN; D 0 AN L DN.
(8) FPC L B; H P B L D; J P B L E; J PEL B.
(9) A P J L Q J; A P ANN L Q ANN; Q J , P J L Q ANN.
(10) Q J L R A; Q JOB L R B; ARE MAL R E LEO Q J .Q ANN L RNA; Q ANN 0 B L R NB.
(11) H L H; G S C, C S G. D K A L C K B; D K C S E K A;E K A SDK C.
(12) D T A; D T B; D T C; D L D; D U E;D U F; DUG. J T I;J U AA.
(13) FIRII V GN; ANNN K C V ANNN; AN P C V CRC.
(14) WE K A X L E K A; B WE K A X L WB 0 E X K WBOA X LBO F.
(15) C Y B L I; E Y B L BE; BYE L CB; W D K A X Y B L BE.
(16) BE Z BL E; FD Z B L H; BG Z C L C; ABE Z C L E.WAI K F X Z B L E. BE Z B L ME; MABE Z C L ME.BE Z B L KM E.
(17) D * L DOC 0 BOA L BD; E * LEO DOC 0 BOA L ABN;H * L DNCBN.
(18) & P D LAM Q C K Q E MQ G K Q I M. &V CRADAEI.
(19) $ L A K Q WA * X K Q WB * X K Q WC * X K Q WD * X K.$ V BRGAHBH.
(20) ¢ E K A # L WE K A X; B ¢ E K A # L B WE K A X;
B ¢ E K WD K C X # L B WE K GX.¢ B # ¢ D # L WB X WD X LBO D.
(21) S Y ¢ & 0 WMA X Z B # K A L N.
Possible Communications from Another Planet
Figure 3
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(22) B K C L ¢ NNA #; B K C L E. COD L ¢ NNA #; COD LAB .
D Y B L ¢ NNA #; 0 Y B L AF.
(23) B K C L E; ¢ @ NNB #. B K 0 L E; ¢ @ NNC #. E Y B L BE;
¢ NNB #. F Y B L C E; ¢ @ NNC II. I T E; ¢ NNB #. H U C;¢ NNC #. & V BRGAHBH; ¢ @ NNC #.
(24) B L ¢ @ NND #. C L ¢ @ NND #. E, G, AA, AC, AG, ¢ @ NND #.ANA ¢ @ NND #.
(25) ¢ NNE # L BO & ¢ @ A #; ¢ NNF # L & ¢ @ A /I Y B.
¢ A # L ¢ @ NNG #. ¢ @ NNE /I L B & ¢ @ NNG #;¢ @ NNF II L & ¢ @ NNG # Y B.
( 26 ) ¢ @ NNH # L 0 0 Q C 0 & ¢ @ NNG # Y C.
(27) Q B K Q 0 K Q H K Q AF K Q CB V A;
Q B K Q 0 K Q H K Q AF K Q CB K ¢ @ NNI # L A.
( 28 ) C K ¢ @ A # L G; ¢ @ A # L D. I K ¢ @ A # L AB;¢ @ A/ILC. FDZ¢ @ A#LH; ¢ @ A/ILE.
¢ @ A II LA , R GG, M R GG, J PC , &, K, M, ¢ @ NNI #.¢ @ BilL A, R GG, M R GG, J PC , &, K, M, ¢ @ NNI #.¢ @ C II LA , R GG, M R GG, J PC , &, K, M, ¢ @ NNI #.
(29 ) ¢ @ NNE II L B & ¢ @ B #; ¢ NNF # L & ¢ @ B /I Y B.
¢ @ NAN II LB ¢ @ C # K B ¢ @ 0 #;¢ @ NAA # L ¢ @ C # 0 ¢ @ 0 /I. .
( 30) ¢ @ NNE # L ¢ @ NAB {I , ¢ @ NAC #; ¢ @ NNF II L ¢ @ NAD #,¢ @ NAC /I. ¢ @ NAN II L ¢ @ NAB /I, ¢ @ NAE II;¢ @ NAA # L ¢ @ NAD #, ¢ @ NAE #.
Figure 3 (Continued)
manner of speaking, pure Vener ea n sentences.
Furthermore, we can now see how we could recover the
code they are using on us, and which will obviously
consist of thousands upon thousands of code groups with
different meaning; this is easily appreciated by anyone
who takes the trouble to fathom the meaning of all 30
transmissions in the foregoing example.
Even right after this first series of transmissions, if weare in direct communication with that planet, we shall
have questions to put to "them": the proof of Fermat's
Last Theorem, Goldbach's conjecture, and many other
unsolved problems in mathematics and the natural
sciences. By the way, Goldbach's "notorious" conjecture
is called by that adjeccive only because other
mathematicians weren't imaginative enough to make the
conjecture themselves; it states that every even number
greater than 2 can be expressed as the sum of two primes.
It will not be difficult for "them" to demonstrate their
intellectual and technological superiority (first of all,
don't forget it was they who were able to call tis!). If
"they" but know the seventh digit of the "fine structure
constant," they are ages ahead of us (we know only the
first five for sure, suspect the sixth). This number,
137.039. . . , is the ratio, among others, of the speed ofl ight to the speed of the hydrogen electron; it may take a
century to calculate this constant to 9 digits. And after we
resolve our pressing scientific questions, it might be
appropriate to make discrete inquiries as to how we could
live in harmony and peace with our fellow man-that is,
if we aren't eaten or otherwise ingested by the superior
civilization that had the good fortune to contact us. But as
far as the cryptologist is concerned, he (and generations of
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his descendants who might experience the supreme thrill
of their lives when we hear from "them") must keep a
level head, not get excited, and be prepared to cope with
problems the likes of which he has never seen-out of
this world, so to speak.'
10 fOil OffiCIAL USE ONFl
Mr. Callimahos won world renown as a flute
virtuoso before serving in the Army cryptologic unit in
World Was II. The author of many textbooks.monographs, studies and articles, including the ones
on cryptology in the World B ( ~ o k Encyclopedia,
Collier 's Encyclopedia, and the Encyclopaedia
Britannica, he has for twenty years taught NSA's
senior course in cryptanalysis.